Naslov
Relative convergence estimates for the spectral asymptotic in the Large Coupling Limit

Autori
Grubišić, Luka

Izvornik
Integral equations and operator theory (0378-620X) 65 (2009), 1; 51-81

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
convergence estimates ; eigenvalues ; large coupling limit

Sažetak
We prove optimal convergence estimates for eigenvalues and eigenvectors of a class of singular/stiff perturbed problems. Our profs are constructive in nature and use (elementary) techniques which are of current interest in computational Linear Algebra to obtain estimates even for eigenvalues which are in gaps of the essential spectrum. Further, we also identify a class of ``regular'' stiff perturbations with (provably) good asymptotic properties. The Arch Model from the theory of elasticity is presented as a prototype for this class of perturbations. We also show that we are able to study model problems which do not satisfy this regularity assumption by presenting a study of a Schroedinger operator with singular obstacle potential.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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